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Definition df-i1p 7298
Description: Define the positive real constant 1. This is a "temporary" set used in the construction of complex numbers and is intended to be used only by the construction. (Contributed by Jim Kingdon, 25-Sep-2019.)
Assertion
Ref Expression
df-i1p 1P = ⟨{𝑙𝑙 <Q 1Q}, {𝑢 ∣ 1Q <Q 𝑢}⟩
Distinct variable group:   𝑢,𝑙

Detailed syntax breakdown of Definition df-i1p
StepHypRef Expression
1 c1p 7123 . 2 class 1P
2 vl . . . . . 6 setvar 𝑙
32cv 1331 . . . . 5 class 𝑙
4 c1q 7112 . . . . 5 class 1Q
5 cltq 7116 . . . . 5 class <Q
63, 4, 5wbr 3936 . . . 4 wff 𝑙 <Q 1Q
76, 2cab 2126 . . 3 class {𝑙𝑙 <Q 1Q}
8 vu . . . . . 6 setvar 𝑢
98cv 1331 . . . . 5 class 𝑢
104, 9, 5wbr 3936 . . . 4 wff 1Q <Q 𝑢
1110, 8cab 2126 . . 3 class {𝑢 ∣ 1Q <Q 𝑢}
127, 11cop 3534 . 2 class ⟨{𝑙𝑙 <Q 1Q}, {𝑢 ∣ 1Q <Q 𝑢}⟩
131, 12wceq 1332 1 wff 1P = ⟨{𝑙𝑙 <Q 1Q}, {𝑢 ∣ 1Q <Q 𝑢}⟩
Colors of variables: wff set class
This definition is referenced by:  1pr  7385  1prl  7386  1pru  7387  addnqpr1  7393  caucvgsr  7633  pitonnlem1  7676  recidpipr  7687  nntopi  7725
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